Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 502: 39

$2m^3+10m^2+m+5$

We will utilize the FOIL method to find the product of $2m^2+1$ and $m+5$. To use the FOIL method, we first multiply the first terms written in each parenthesis. We then multiply the outer terms, meaning the first term in the first parenthesis and the second term in the second parenthesis. We then multiply the inner terms, meaning the second term in the first parenthesis and the first term in the second parenthesis. We then multiply the last two terms, which are the second terms in both parentheses:$$2m^3+10m^2+m+5$$